The Boas Problem on Hankel Transforms

Abstract

Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.